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%I #20 Mar 29 2020 09:31:50
%S 1,5,6,7,5,2,0,8,0,6,3,2,5,5,5,4,5,3,2,8,4,4,1,4,3,5,6,1,3,1,3,2,5,8,
%T 4,5,1,1,3,0,6,9,2,0,9,4,7,2,0,7,1,3,6,0,8,3,4,8,1,0,3,6,4,6,6,8,2,5,
%U 6,5,4,6,5,7,4,4,7,2,7,2,5,4,5,3,5,4,5,2,7,5,4,3,5,5,5,8,3,7,4
%N Decimal expansion of C_1 constant of Melas for the centered Hardy-Littlewood maximal inequality.
%C Digits of the largest solution of 12*x^2 - 22*x + 5 = 0. - _Jonathan Sondow_, Oct 01 2013
%H Steven Finch, <a href="http://web.archive.org/web/20051223224714/http://pauillac.inria.fr/algo/csolve/hl.pdf">Hardy-Littlewood Maximal Inequalities</a>, Oct. 12, 2003, page 2.
%H Antonios D. Melas, <a href="http://arxiv.org/abs/math/0311452">The best constant for the centered Hardy-Littlewood maximal inequality</a>, Ann. of Math. (2) 157 (2003), no. 2, 647-688; arXiv:0311452 [math.CA], 2003.
%H Terry Tao, <a href="http://terrytao.wordpress.com/2009/12/07/random-martingales-and-localization-of-maximal-inequalities/">Random Martingales and localization of maximal inequalities</a>.
%F Equals (11+(61^(1/2)))/12 = 1.5675208063255545328441435613132584511306920947...
%t First[ RealDigits[ N[ (11 + Sqrt[61])/12, 100]]] (* _Jonathan Sondow_, Oct 01 2013 *)
%o (PARI) (sqrt(61)+11)/12 \\ _Charles R Greathouse IV_, Oct 01 2013
%K cons,easy,nonn
%O 1,2
%A _Jonathan Vos Post_, Dec 08 2009
%E Sequence and formula corrected by _Jonathan Sondow_, Oct 01 2013
%E More specific title by _Hugo Pfoertner_, Mar 29 2020
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